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Finding the Fourth Proportional to 3,939.84, 5,910.87 and 1,307.59

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Solution

The fourth proportional to 3,939.84, 5,910.87 and 1,307.59 is: 1,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.84 : 5,910.87 = 1,307.59 : x
  2. Step 2: Convert to fraction form
    3,939.84/5,910.87 = 1,307.59/x
  3. Step 3: Cross multiply
    3,939.84x = 5,910.87 × 1,307.59
  4. Step 4: Simplify right side
    3,939.84x = 7,729,017.88
  5. Step 5: Solve for x
    x = 7,729,017.88/3,939.84
  6. Step 6: Final answer
    x = 1,961.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.